You are dreaming of unknown sources of joy. While gifts are often associated with events that merit them, the giving and receiving of a gift speaks more about the relationship between the two parties than the reason for the giving.

If your dream includes another person involved in a gift exchange, examine that individual as a character aspect that is highly beneficial to you at this time. This is the case whether you are the giver or the receiver in your dream. Gift exchanges can be so charged with elation that many people are motivated to gift others in order to experience this elevated feeling.

If the dream reflects this perspective, look for places in your life that might be in need of an injection of joy.

If there was any mystery surrounding the gift in your dream, the unknown factor points to areas in your life that may be offering you gifts, the value of which is not yet known. Your unconscious mind will always know well in advance of your conscious mind when a seemingly challenging situation is really a gift. This symbol in a dream may be the first sign that something of value is on the horizon, even if it isn’t yet apparent.... Complete Dictionary of Dreams

Could the gift represent a creative talent or skill you aren’t expressing in waking life? If you were given a gift of an expensive box of oil paints, for example, could this be encouraging you to make use of your artistic talent?... The Element Encyclopedia

(1) Unwrapping, for example, a parcel, may symbolize uncovering something in yourself: fear, anger, guilt*feeling; some capacity or talent previously unused but which you should learn to accept and employ in your conscious life.

(2) If several layers of wrapping are removed, this may symbolize deep excavations into your unconscious; (a feeling of) getting close to your true self.... A Dictionary of Dream Symbols

(1) A wrapped parcel may mean you are hiding - suppressing or repressing - some part of your personality (for suppression / repression).

(2) If it is yourself you are wrapping up in a dream, this may symbolize either a desire to conceal your feelings from yourself or from others; or a sense of shame or guilt or inadequacy; or a longing for the warmth of love. In all cases the first thing to do is to remove the wrappings - that is, to uncover that part of yourself that needs attention.... A Dictionary of Dream Symbols

Dreaming that you wrap an object reflects your desire to hide something; usually some aspect of your personality that is repressed. The opacity of the wrap indicates whether this rejection is deep. The act of unwrapping, however, indicates otherwise; It means that you begin to be more open.

Receiving a wrapped package in dreams is considered a lucky omen. Unwrapping it, however, brings bad luck.... The Big Dictionary of Dreams